Jillian knits hats for her family and friends in the first week she knits 4 hats. The next week, she has some help and together they knit four times as many hat The following week, she has even more help, and they knit four times as many hats as the week before the fourth week Jillian her friends and family knit four times as many hats as the third week how many hats will they knit in the fourth week.

16
32
64
256

To find out how many hats Jillian and her friends will knit in the fourth week, let's break down the information given.

In the first week, Jillian knits 4 hats.
In the next week, Jillian and her friends knit four times as many hats as the first week, which is 4 x 4 = 16 hats.
In the following week, Jillian and her even more friends knit four times as many hats as the week before, which is 16 x 4 = 64 hats.
In the fourth week, Jillian, her friends, and family knit four times as many hats as the third week. As the third week they knit 64 hats, so the fourth week they will knit 64 x 4 = 256 hats.

Therefore, they will knit 256 hats in the fourth week.